Thanks a lot, i get most of what you said. But can you explain how you came up with the second part:

f(x)= f '(x) + g(x)

I got this from the first equation you gave me . All I did was add on both sides. I did the same thing for the second equation you gave me to get . It is actually not even necessary to re-write it this way.

and how you used that to find out that f '(x) = 4

thats the one part i still dont get

how about i show you how to do it with JUST the 4 equations you gave me without any reordering. you are given:

Using this, you can solve for and :

and likewise

Now repeating my earlier argument, and likewise

Now, and likewise

So then and . Adding these two together yields . The constant you are looking for is .